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Finding the Fourth Proportional to 3,482.48, 5,224.20 and 1,430

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Solution

The fourth proportional to 3,482.48, 5,224.20 and 1,430 is: 2,145.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.48 : 5,224.20 = 1,430 : x
  2. Step 2: Convert to fraction form
    3,482.48/5,224.20 = 1,430/x
  3. Step 3: Cross multiply
    3,482.48x = 5,224.20 × 1,430
  4. Step 4: Simplify right side
    3,482.48x = 7,470,606
  5. Step 5: Solve for x
    x = 7,470,606/3,482.48
  6. Step 6: Final answer
    x = 2,145.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.